Results 21 to 30 of about 945,067 (284)
Bounds for triple gamma functions and their ratios
Journal of Inequalities and Applications, 2016 In this work, in addition to the bounds for triple gamma function, bounds for the ratios of triple gamma functions are obtained. Similar bounds for the ratios of the double gamma functions are also obtained.
Sourav Das, A Swaminathan
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Multiple Gamma Functions and Multiple $q$-Gamma Functions
Publications of the Research Institute for Mathematical Sciences, 1997 We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple
Ueno, Kimio, Nishizawa, Michitomo
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Special values of multiple gamma functions [PDF]
Journal de théorie des nombres de Bordeaux, 2008 We give a Chowla-Selberg type formula that connects a generalization of the eta-function to GL(n) with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
Duke, William, Imamoḡlu, Özlem
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Algorithms to Evaluate Multiple Sums for Loop Computations [PDF]
, 2013 We present algorithms to evaluate two types of multiple sums, which appear in higher-order loop computations. We consider expansions of a generalized hypergeometric-type sums, $\sum_{n_1,...,n_N} [Gamma(a1.n+c1) Gamma(a2.n}+c2) ...
Anzai, C., Sumino, Y.
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Approximation for the gamma function via the tri-gamma function
Journal of Inequalities and Applications, 2017 In this paper, we present a new sharp approximation for the gamma function via the tri-gamma function. This approximation is fast in comparison with the recently discovered asymptotic series.
Xu You, Xiaocui Li
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Sensors, 2023 Gamma imagers play a key role in both industrial and medical applications. Modern gamma imagers typically employ iterative reconstruction methods in which the system matrix (SM) is a key component to obtain high-quality images.
Yihang Zhu +4 more
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Multiple Gamma functions and $L$-functions [PDF]
Mathematical Research Letters, 1996 Multiple gamma functions, first introduced and studied by E. W. Barnes and others around 1900, play an important role in the study of functional equations for Selberg zeta functions and other topics in modern analytic number theory. This paper makes a case for defining a multiple gamma function as a meromorphic function \(\Gamma_P(u)\) associated with ...
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Multiple $$\log \Gamma $$ -Type Functions
, 2022 AbstractIn this chapter, we introduce and investigate the map, denote it by Σ, that carries any function g lying in $$\displaystyle \bigcup _{p\geq 0}(\mathcal {D}^p\cap \mathcal {K}^p) $$ ⋃ p ≥ 0
Jean-Luc Marichal, Naïm Zenaïdi
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Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment
Sensors, 2020 The use of large-scale antenna arrays grants considerable benefits in energy and spectral efficiency to wireless systems due to spatial resolution and array gain techniques.
Felipe A. P. de Figueiredo +3 more
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Cosmological constraints from multiple tracers in spectroscopic surveys [PDF]
, 2017 We use the Fisher matrix formalism to study the expansion and growth history of the Universe using galaxy clustering with 2D angular cross-correlation tomography in spectroscopic or high resolution photometric redshift surveys.
Alarcon, Alex +2 more
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